Trusted Execution Environments (TEEs) allow user processes to create enclaves that protect security-sensitive computation against access from the OS kernel and the hypervisor. Recent work has shown that TEEs are vulnerable to side-channel attacks that allow an adversary to learn secrets shielded in enclaves. The majority of such attacks trigger exceptions or interrupts to trace the control or data flow of enclave execution. We propose QuanShield, a system that protects enclaves from side-channel attacks that interrupt enclave execution. The main idea behind QuanShield is to strengthen resource isolation by creating an interrupt-free environment on a dedicated CPU core for running enclaves in which enclaves terminate when interrupts occur. QuanShield avoids interrupts by exploiting the tickless scheduling mode supported by recent OS kernels. QuanShield then uses the save area (SA) of the enclave, which is used by the hardware to support interrupt handling, as a second stack. Through an LLVM-based compiler pass, QuanShield modifies enclave instructions to store/load memory references, such as function frame base addresses, to/from the SA. When an interrupt occurs, the hardware overwrites the data in the SA with CPU state, thus ensuring that enclave execution fails. Our evaluation shows that QuanShield significantly raises the bar for interrupt-based attacks with practical overhead.